Special Relativity Tensors And Energy Tensor
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Special Relativity Tensors And Energy Tensor With Worked Problems
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Author : Somnath Datta
language : en
Publisher: World Scientific
Release Date : 2021-03-02
Special Relativity Tensors And Energy Tensor With Worked Problems written by Somnath Datta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Science categories.
This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.In the book, the concepts of tensors are developed carefully and a large number of numerical examples taken from atomic and nuclear physics. The graphs of important equations are included. This is suitable for studies in classical electrodynamics, modern physics, and relativity.
Special Relativity Tensors And Energy Tensor
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Author : Somnath Datta
language : en
Publisher:
Release Date : 1901
Special Relativity Tensors And Energy Tensor written by Somnath Datta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1901 with Continuum mechanics categories.
Tensors Relativity And Cosmology
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Author : Eric A. Lord
language : en
Publisher:
Release Date : 1976
Tensors Relativity And Cosmology written by Eric A. Lord and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Algebras, Linear categories.
An Introduction To Tensor Calculus
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Author : Derek F. Lawden
language : en
Publisher: Courier Corporation
Release Date : 2012-03-07
An Introduction To Tensor Calculus written by Derek F. Lawden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-07 with Science categories.
This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory. Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor calculus and Riemannian space; and the general theory of relativity, including a focus on black holes and gravitational waves. The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology. Numerous exercises advance the theoretical developments of the main text, thus enhancing this volume’s appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.
Classical Field Theory And The Stress Energy Tensor
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Author : Mark S. Swanson
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-10-12
Classical Field Theory And The Stress Energy Tensor written by Mark S. Swanson and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-12 with Science categories.
This book is a concise introduction to the key concepts of classical field theory for beginning graduate students and advanced undergraduate students who wish to study the unifying structures and physical insights provided by classical field theory without dealing with the additional complication of quantization. In that regard, there are many important aspects of field theory that can be understood without quantizing the fields. These include the action formulation, Galilean and relativistic invariance, traveling and standing waves, spin angular momentum, gauge invariance, subsidiary conditions, fluctuations, spinor and vector fields, conservation laws and symmetries, and the Higgs mechanism, all of which are often treated briefly in a course on quantum field theory.
The Special Theory Of Relativity
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Author : J. Aharoni
language : en
Publisher:
Release Date : 1985
The Special Theory Of Relativity written by J. Aharoni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Science categories.
Energy Momentum Tensors
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Author : Robert Hermann
language : en
Publisher: Math-Sci Press
Release Date : 1973
Energy Momentum Tensors written by Robert Hermann and has been published by Math-Sci Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Special Relativity
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Author : Valerio Faraoni
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-15
Special Relativity written by Valerio Faraoni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-15 with Science categories.
This book offers an essential bridge between college-level introductions and advanced graduate-level books on special relativity. It begins at an elementary level, presenting and discussing the basic concepts normally covered in college-level works, including the Lorentz transformation. Subsequent chapters introduce the four-dimensional worldview implied by the Lorentz transformations, mixing time and space coordinates, before continuing on to the formalism of tensors, a topic usually avoided in lower-level courses. The book’s second half addresses a number of essential points, including the concept of causality; the equivalence between mass and energy, including applications; relativistic optics; and measurements and matter in Minkowski space-time. The closing chapters focus on the energy-momentum tensor of a continuous distribution of mass-energy and its co-variant conservation; angular momentum; a discussion of the scalar field of perfect fluids and the Maxwell field; and general coordinates. Every chapter is supplemented by a section with numerous exercises, allowing readers to practice the theory. These exercises constitute an essential part of the textbook, and the solutions to approximately half of them are provided in the appendix.
An Introduction To Tensor Calculus And Relativity
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Author : Derek F. Lawden
language : en
Publisher:
Release Date : 1962
An Introduction To Tensor Calculus And Relativity written by Derek F. Lawden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Calculus categories.
Tensors Relativity And Cosmology
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Author : Mirjana Dalarsson
language : en
Publisher: Gulf Professional Publishing
Release Date : 2005-03-21
Tensors Relativity And Cosmology written by Mirjana Dalarsson and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-21 with Mathematics categories.
This book combines relativity, astrophysics, and cosmology in a single volume, providing an introduction to each subject that enables students to understand more detailed treatises as well as the current literature. The section on general relativity gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes, Penrose processes, and similar topics), and considers the energy-momentum tensor for various solutions. The next section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects. Lastly, the section on cosmology discusses various cosmological models, observational tests, and scenarios for the early universe. * Clearly combines relativity, astrophysics, and cosmology in a single volume so students can understand more detailed treatises and current literature * Extensive introductions to each section are followed by relevant examples and numerous exercises * Provides an easy-to-understand approach to this advanced field of mathematics and modern physics by providing highly detailed derivations of all equations and results